Autocollimation sensor for measuring the angular deformations with the pyramidal prismatic reflector

We consider the design of a reflector to measure the rotation angles with respect to three axes by the autocollimation method. A quadrangular pyramidal reflector is proposed. An exact algorithm of angular measurements for yaw and pitch angles is considered. Two reflector variants are studied. In the first variant, the angles between the reflecting faces is 90°, in the second variant, these angles do not equal 90°. Algorithms are designed to determine the yaw, pitch and roll angles with two reflector variants. Reflector effectiveness is compared for autocollimation measurements of three rotation angles of an object.